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Finding the Fourth Proportional to 9,941.70, 13,703.88 and 8,146.53

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Solution

The fourth proportional to 9,941.70, 13,703.88 and 8,146.53 is: 11,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.70 : 13,703.88 = 8,146.53 : x
  2. Step 2: Convert to fraction form
    9,941.70/13,703.88 = 8,146.53/x
  3. Step 3: Cross multiply
    9,941.70x = 13,703.88 × 8,146.53
  4. Step 4: Simplify right side
    9,941.70x = 111,639,069.54
  5. Step 5: Solve for x
    x = 111,639,069.54/9,941.70
  6. Step 6: Final answer
    x = 11,229.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.